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Finding the Fourth Proportional to 46,685.70, 70,017.87 and 13,405.50

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Solution

The fourth proportional to 46,685.70, 70,017.87 and 13,405.50 is: 20,105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,685.70 : 70,017.87 = 13,405.50 : x
  2. Step 2: Convert to fraction form
    46,685.70/70,017.87 = 13,405.50/x
  3. Step 3: Cross multiply
    46,685.70x = 70,017.87 × 13,405.50
  4. Step 4: Simplify right side
    46,685.70x = 938,624,556.29
  5. Step 5: Solve for x
    x = 938,624,556.29/46,685.70
  6. Step 6: Final answer
    x = 20,105.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.